A bus serving a number of villages is due to arrive in a particular village at 10 o'clock. Past experience tells the people waiting in the village for the bus that the probability of the service being cancelled on any day is 0.05, and that, when it runs, the probability of the bus being late is 0.1 Draw a tree diagram to show this information. Using your tree diagram, find i)the probability that the bus has not arrived in the village at 10 o'clock, ii)the conditional probability that the service has been cancelled, given that the bus has not arrived in the village at 10 o'clock.